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137482078305 = 351113437392017
BaseRepresentation
bin1000000000001010010…
…0100000100001100001
3111010212100210012112010
42000002210200201201
54223030403001210
6143054114023133
712634635245505
oct2000244404141
9433770705463
10137482078305
115334005a320
122278a577aa9
13cc700293c0
146923074305
153899b55920
hex2002920861

137482078305 has 128 divisors (see below), whose sum is σ = 264926914560. Its totient is φ = 59988418560.

The previous prime is 137482078291. The next prime is 137482078319. The reversal of 137482078305 is 503870284731.

It is an interprime number because it is at equal distance from previous prime (137482078291) and next prime (137482078319).

It is not a de Polignac number, because 137482078305 - 24 = 137482078289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68160657 + ... + 68162673.

It is an arithmetic number, because the mean of its divisors is an integer number (2069741520).

Almost surely, 2137482078305 is an apocalyptic number.

137482078305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137482078305 is a deficient number, since it is larger than the sum of its proper divisors (127444836255).

137482078305 is a wasteful number, since it uses less digits than its factorization.

137482078305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 137482078305 in words is "one hundred thirty-seven billion, four hundred eighty-two million, seventy-eight thousand, three hundred five".

Divisors: 1 3 5 11 13 15 33 39 43 55 65 129 143 165 195 215 429 473 559 645 715 739 1419 1677 2017 2145 2217 2365 2795 3695 6051 6149 7095 8129 8385 9607 10085 11085 18447 22187 24387 26221 28821 30255 30745 31777 40645 48035 66561 78663 86731 92235 95331 105677 110935 121935 131105 144105 158885 260193 288431 317031 332805 349547 393315 413101 433655 476655 528385 865293 954041 1048641 1127503 1239303 1300965 1442155 1490563 1585155 1747735 2065505 2862123 3382509 4326465 4471689 4544111 4770205 5243205 5637515 6196515 7452815 12402533 13632333 14310615 16396193 16912545 19377319 22358445 22720555 37207599 49188579 58131957 62012665 64094209 68161665 81980965 96886595 186037995 192282627 213150509 245942895 290659785 320471045 639451527 705036299 833224717 961413135 1065752545 2115108897 2499674151 3197257635 3525181495 4166123585 9165471887 10575544485 12498370755 27496415661 45827359435 137482078305